Illustrative Math Alignment: Grade 7 Unit 7

Topic

Solving Equations

Description

This example demonstrates solving the equation (x - 4) / 5 = 12. The solution process involves multiplying both sides of the equation by 5, then adding 4 to both sides to isolate the variable. Through these steps, we find that x = 64.

Topic

Solving Equations

Description

This example demonstrates solving the equation (2/3)x = 50. The solution process involves multiplying both sides of the equation by 3, then dividing both sides by 2 to isolate the variable. Through these steps, we find that x = 75.

Topic

Solving Equations

Description

This math example demonstrates how to solve the equation ( x / 4 ) / 5 = 30. The solution involves multiplying both sides by 5, then multiplying by 4 to isolate x. The final result is x = 600.

Solving two-step equations is a fundamental skill in algebra. This collection of examples helps teach this topic by presenting various equation formats, including fractions and negative numbers. By working through these diverse problems, students can develop a comprehensive understanding of the steps required to solve different types of two-step equations.

Topic

Solving Equations

Description

This math example illustrates the process of solving the equation 2x + ( -4 ) = x + 10. The solution involves subtracting ( -4 ) and x from both sides of the equation to isolate x. After performing these operations, we find that x = 14.

Topic

Solving Equations

Description

This math example demonstrates the process of solving the equation 2x + ( -4 ) = x - 10. The solution involves subtracting ( -4 ) and x from both sides of the equation to isolate x. After performing these operations, we find that x = -6.

Topic

Solving Equations

Description

This math example illustrates the process of solving the equation 2x + ( -4 ) = 8. The solution involves adding ( -4 ) to both sides and then dividing by 2 to isolate x. After performing these operations, we find that x = 6.

Topic

Solving Equations

Description

In this example, we solve the equation 2x + 4 = x - 10. The solution process involves subtracting 4 from both sides of the equation, then subtracting x from both sides. Through these steps, we find that x = -14.

Topic

Solving Equations

Description

This math example demonstrates how to solve the equation x / 2 + ( -4 ) = 8. The solution involves adding ( -4 ) to both sides and then multiplying by 2 to isolate x. After performing these operations, we find that x = 24.

Topic

Solving Equations

Description

This math example demonstrates solving the equation 2x - (-3) = x + 4. The solution involves adding -3 to both sides and then subtracting x from both sides to isolate the variable. The final result is x = 1. This example showcases the process of solving a two-step equation with negative numbers.

Topic

Solving Equations

Description

This math example illustrates the process of solving the equation 2x - (-3) = x - 4. The solution involves adding -3 to both sides and then subtracting x from both sides to isolate the variable. The final result is x = -7. This example demonstrates how to handle negative numbers and subtraction in two-step equations.

Topic

Solving Equations

Description

This math example demonstrates solving the equation 5x - (-7) = 18. The solution involves adding -7 to both sides and then dividing by 5 to isolate the variable x. The final result is x = 2 1/5 or 2.2. This example showcases how to handle negative numbers and fractions in two-step equations.

Topic

Solving Equations

Description

This math example illustrates the process of solving the equation x/2 - (-4) = 8. The solution involves adding -4 to both sides and then multiplying by 2 to isolate the variable x. The final result is x = 8. This example demonstrates how to handle fractions and negative numbers in two-step equations.

Topic

Solving Equations

Description

This math example demonstrates solving the equation 3(x + (-2)) = 12. The solution involves first dividing both sides by 3 to isolate the expression x + (-2), then adding 2 to both sides to isolate x. The final result is x = 6. This example showcases how to handle parentheses and negative numbers in two-step equations.

Topic

Solving Equations

Description

This math example illustrates the process of solving the equation 3(x - (-2)) = 15. The solution involves first dividing both sides by 3 to isolate the expression x - (-2), then subtracting 2 from both sides to isolate x. The final result is x = 3. This example demonstrates how to handle parentheses and double negatives in two-step equations.

Topic

Solving Equations

Description

This math example demonstrates solving the equation 14(-15x) = 280. The solution involves first dividing both sides by 14 to isolate the expression -15x, then dividing by -15 to isolate x. The final result is x = -1/3. This example showcases how to handle multiplication with negative numbers and fractions in two-step equations.

Topic

Solving Equations

Description

This math example illustrates the process of solving the equation 12(x/-5) = 144. The solution involves first dividing both sides by 12 to isolate the expression x/-5, then multiplying by 5 to isolate x. The final result is x = -60. This example demonstrates how to handle fractions and multiplication in two-step equations.

Topic

Solving Equations

Description

This math example demonstrates solving the equation (x + (-4)) / 5 = 12. The solution involves first multiplying both sides by 5 to isolate the expression x + (-4), then adding 4 to isolate x. The final result is x = 64. This example showcases how to handle fractions and negative numbers in two-step equations.

Topic

Solving Equations

Description

This example demonstrates solving the equation 2x + 4 = 8. The solution process involves subtracting 4 from both sides of the equation, then dividing both sides by 2. Through these steps, we find that x = 2.

Topic

Solving Equations

Description

This math example illustrates the process of solving the equation (x - (-4)) / 5 = 12. The solution involves first multiplying both sides by 5 to isolate the expression x - (-4), then subtracting -4 to isolate x. The final result is x = 56. This example demonstrates how to handle fractions and double negatives in two-step equations.

Topic

Solving Equations

Description

This math example demonstrates solving the equation (2/3)x = -50. The solution involves first multiplying both sides by 3 to eliminate the fraction, then dividing by 2 to isolate x. The final result is x = -75. This example showcases how to handle fractions and negative numbers in two-step equations.

Topic

Solving Equations

Description

This math example illustrates the process of solving the equation x / (4/5) = -30. The solution involves first multiplying both sides by 5 to eliminate the fraction in the denominator, then dividing by 4 to isolate x. The final result is x = -600. This example demonstrates how to handle complex fractions and negative numbers in two-step equations.

Topic

Solving Equations

Description

This example demonstrates solving the equation x/2 + 4 = 8. The solution process involves subtracting 4 from both sides of the equation, then multiplying both sides by 2. Through these steps, we find that x = 8.

Topic

Solving Equations

Description

This example demonstrates solving the equation 2x - 3 = x + 4. The solution process involves adding 3 to both sides of the equation, then subtracting x from both sides to isolate the variable. Through these steps, we find that x = 7.

Topic

Solving Equations

Description

This example demonstrates solving the equation 2x - 3 = x - 4. The solution process involves adding 3 to both sides of the equation, then subtracting x from both sides to isolate the variable. Through these steps, we find that x = -1.

Topic

Solving Equations

Description

This example demonstrates solving the equation 5x - 7 = 18. The solution process involves adding 7 to both sides of the equation, then dividing both sides by 5 to isolate the variable. Through these steps, we find that x = 5.

Topic

Solving Equations

Description

This example demonstrates solving the equation (x/2) - 4 = 8. The solution process involves adding 4 to both sides of the equation, then multiplying both sides by 2 to isolate the variable. Through these steps, we find that x = 24.

Topic

Solving Equations

Description

This example demonstrates solving the equation 3(x + 2) = 12. The solution process involves first dividing both sides of the equation by 3, then subtracting 2 from both sides to isolate the variable. Through these steps, we find that x = 2.

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

This Teacher's Guide provides an overview of the 32 worked-out examples that show how to find the equation of a line parallel or perpendicular to a given line and through a given point.

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This Teacher's Guide provides an overview of the 12 worked-out examples that show how to find the equation of a line, given two points.

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This Teacher's Guide provides an overview of the 13 worked-out examples that solve a variety of one-variable equations with fractions.

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What Are Percents?

This Teacher's Guide provides an overview of the 27 worked-out examples that solve a variety of one-variable equations.

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This Teacher's Guide provides an overview of the 8 worked-out examples that show how to solve Quadratic Equations graphically.

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To see resources related to this topic click on the Related Resources tab above.

Topic

Addition and Subtraction

Description

A False Equation is an equation that displays an incorrect sum or difference. For example, 1 + 1 = 3 and 2 - 1 = 3 are false equations. Identifying false equations sharpens critical thinking and reinforces the importance of accuracy in mathematical reasoning.

Topic

Addition and Subtraction

Description

Definition: A False Equation is an equation that displays an incorrect sum or difference. For example, 1 + 1 = 3 and 2 - 1 = 3 are false equations. Identifying false equations sharpens critical thinking and reinforces the importance of accuracy in mathematical reasoning.

Topic

Multiplication and Division

Description

A False Equation is an equation that shows an inaccurate product or quotient. For example, 6 x 2 = 10 or 12 ÷ 3 = 5. This concept highlights the importance of verifying calculations for correctness. This term teaches students to identify and avoid common errors in mathematical equations.

Topic

Addition and Subtraction

Description

True Equation: An equation that shows an accurate sum or difference. Examples include 5 + 1 = 6 and 4 - 1 = 3. This term reinforces accuracy and verification in arithmetic, ensuring students evaluate equations correctly.

Topic

Addition and Subtraction

Description

Definition: True Equation: An equation that shows an accurate sum or difference. Examples include 5 + 1 = 6 and 4 - 1 = 3. This term reinforces accuracy and verification in arithmetic, ensuring students evaluate equations correctly.